Q: What are the factor combinations of the number 356,143,151?

 A:
Positive:   1 x 3561431517 x 5087759313 x 2739562791 x 39136611109 x 3211393529 x 1009197763 x 4587714417 x 24703
Negative: -1 x -356143151-7 x -50877593-13 x -27395627-91 x -3913661-1109 x -321139-3529 x -100919-7763 x -45877-14417 x -24703


How do I find the factor combinations of the number 356,143,151?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 356,143,151, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 356,143,151
-1 -356,143,151

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 356,143,151.

Example:
1 x 356,143,151 = 356,143,151
and
-1 x -356,143,151 = 356,143,151
Notice both answers equal 356,143,151

With that explanation out of the way, let's continue. Next, we take the number 356,143,151 and divide it by 2:

356,143,151 ÷ 2 = 178,071,575.5

If the quotient is a whole number, then 2 and 178,071,575.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 356,143,151
-1 -356,143,151

Now, we try dividing 356,143,151 by 3:

356,143,151 ÷ 3 = 118,714,383.6667

If the quotient is a whole number, then 3 and 118,714,383.6667 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 356,143,151
-1 -356,143,151

Let's try dividing by 4:

356,143,151 ÷ 4 = 89,035,787.75

If the quotient is a whole number, then 4 and 89,035,787.75 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 356,143,151
-1 356,143,151
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

1713911,1093,5297,76314,41724,70345,877100,919321,1393,913,66127,395,62750,877,593356,143,151
-1-7-13-91-1,109-3,529-7,763-14,417-24,703-45,877-100,919-321,139-3,913,661-27,395,627-50,877,593-356,143,151

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